Nonuniform localized distortions in generalized elasticity for liquid crystals

G. De Matteis, L. Martina, C. Naya, and V. Turco
Phys. Rev. E 102, 042705 – Published 26 October 2020
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Abstract

We analyze a recent generalized free-energy for liquid crystals posited by Virga and falling in the class of quartic functionals in the spatial gradients of the nematic director. We review some known interesting solutions, i.e., uniform heliconical structures, and we find new liquid crystal configurations, which closely resemble some novel, experimentally detected, structures called Skyrmion tubes. These new configurations are characterized by a localized pattern given by the variation of the conical angle. We study the equilibrium differential equations and find numerical solutions and analytical approximations.

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  • Received 12 June 2020
  • Accepted 7 October 2020

DOI:https://doi.org/10.1103/PhysRevE.102.042705

©2020 American Physical Society

Physics Subject Headings (PhySH)

Polymers & Soft MatterCondensed Matter, Materials & Applied Physics

Authors & Affiliations

G. De Matteis1,2,3,*, L. Martina1,2,†, C. Naya2,‡, and V. Turco1,2,3,§

  • 1Dipartimento di Matematica e Fisica, Università del Salento, Via per Arnesano, C.P. 73100 Lecce, Italy
  • 2INFN, Sezione di Lecce, Via per Arnesano, C.P. 193, I-73100 Lecce, Italy
  • 3GNFM-INDAM, Città Universitaria, Piazzale Aldo Moro 5, C.P. 00185 Roma, Italy

  • *giovanni.dematteis@istruzione.it
  • martina@le.infn.it
  • carlos.naya@le.infn.it
  • §vito.turco@le.infn.it

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Issue

Vol. 102, Iss. 4 — October 2020

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